Boat and Stream Quizzes Post published:March 26, 2020 Post category:Aptitude Quizzes Post comments:0 Comments 0% 0 votes, 0 avg 0 See time here Aptitude Quizzes Boat and Stream Quiz 1Total Questions: 10Time: 10 minutes 1 / 10 Category: Boats and Stream QuestionsA boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is: 2.5 mph 3 mph 4 mph 2 mph Explanation:Let the speed of the stream x mph. Then,Speed downstream = (10 + x) mph,Speed upstream = (10 - x) mph.36-36=90(10 - x)(10 + x)60 72x x 60 = 90 (100 - x2) x2 + 48x - 100 = 0 (x+ 50)(x - 2) = 0 x = 2 mph.2 / 10 Category: Boats and Stream QuestionsThe speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is: 3.6 km 1.8 km 1.2 km 2.4 km Explanation:Speed downstream = (15 + 3) kmph = 18 kmph.Distance travelled =18 x12km = 3.6 km.603 / 10 Category: Boats and Stream QuestionsA boat travels upstream from Q to P and downstream from P to Q in 3 hours. If the distance between P to Q is 4km and the speed of the stream is 1kmph, then what is the velocity of the boat in still water? 3 kmph 5 kmph 2 kmph 4 kmph Answer with the Explanation:Let the velocity or speed of the boat in still water is x km/hr.And the Speed of the stream = 1km/hrSo, the speed of the boat along the stream = (x+1) km/hr.The speed of the boat against the stream = (x-1) km/hr.Note: time = Distance / SpeedSo, [4/ (x+1)] + [4/ (x-1)] = 3 hrs.Note: go through the given options to get the answer quickly or solve the equation as follows:Or, [4 (x+1+x-1)]/ [(x+1) (x-1)] = 3Or, 8x = 3(x2-12)Or, 8x = 3×2-3Or, 3×2-8x-3=0Or, 3×2- 9x+ x-3 = 0Or, (x-3) (3x+1) = 0Therefore x=3 or, x=-1/3 (speed can’t be -ve)Hence, the speed or velocity of the boat in still water is 3 km/hr.4 / 10 Category: Boats and Stream QuestionsThe speed of the stream is 5km/hr. A boat goes 10 km upstream and returns back to the starting point in 50 minutes. Find the velocity of the boat in still water. 25km/hr 20km/hr 30km/hr 35km/hr Answer with the Explanation:Let the speed or velocity of the boat in still water is x km/hrAnd the Speed of the stream = 5km/hrSo, the speed of the boat along the stream = (x+5) km/hr.The velocity of the boat against the stream = (x-5) km/hr.Note: Time = Distance / SpeedSo, [10/ (x+5)] + [10/ (x-5)] = (50/60) hrs.Note: go through the given options to get the answer quickly or solve the equation as follows:Or, [10 (x-5+x+5)]/ [(x+5) (x-5)] = 5/6Or, 20x * 6 = 5(x2-52)Or, 120x = 5(x2-25)Or, x2-25-24x=0Or, x2-24x-25=0Or, x2-25x+x-25=0Or, x(x-25) +1(x-25) =0Now, we can say(X-25)(x+1)= 0Or, x=25, x= -1 (speed can’t be -ve).So, the velocity of the boat in still water is 25 km/hr.5 / 10 Category: Boats and Stream QuestionsA man can row three-quarters of a kilometre against the stream in 11 minutes and down the stream in 7 minutes. The speed (in km/hr) of the man in still water is: 5 km/hr 4 km/hr 6 km/hr 3 km/hr Explanation:We can write three-quarters of a kilometre as 750 metres,and 11 minutes as 675 seconds.Rate upstream =750m/sec=10m/sec.6759Rate downstream =750m/sec=5m/sec.4503 Rate in still water =110+5m/sec293 =25m/sec18 =25x18km/hr185= 5 km/hr.6 / 10 Category: Boats and Stream QuestionsA boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water? 8 km/hr 6 km/hr 4 km/hr 10 km/hr Explanation:Rate downstream =16kmph = 8 kmph.2Rate upstream =16kmph = 4 kmph.4 Speed in still water =1(8 + 4) kmph = 6 kmph.27 / 10 Category: Boats and Stream QuestionsSpeed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is: 16 hours 20 hours 28 hours 24 hours Explanation:Speed upstream = 7.5 kmph.Speed downstream = 10.5 kmph. Total time taken =105+105hours = 24 hours.7.510.58 / 10 Category: Boats and Stream QuestionsA boat covers 12 km upstream and 18km downstream in 3 hours while it covers 36km upstream and 24 km downstream in 6[1/2] hours, what is the velocity of the stream? 3km/hr 2.5km/hr 1.5km/hr 2km/hr Answer with the Explanation:ATQ, Distance in upstream =12kmDistance in downstream = 18 kmLet the speed in upstream = y km/hrAnd the speed in downstream = x km/hrNow, apply the formula.Time = Distance/ speedOr, (18/x) + (12/y) = 3………….. (i)And (24/x) + (36/y) = 13/2……… (ii)Now, multiply equation i by 3 to equate both equations.(54/x) + (36/y) = 9………… (iii)(24/x) + (36/y) = 13/2…….. (iv)Now subtract equation iii by iv.30/x = 9-13/2Or, 30/x = 5/2Or, 5x=60, i.e., x = 12Now, put the value of x in equation i(18/12) + (12/y) = 3Or, 3/2 + 12/y = 3Or, 12/y = 3-3/2Or, 12/y = 3/2Or, y = 8km/hrNow, velocity of stream = (x-y)/ 2= (12-8)/ 2 = 2km/hr.9 / 10 Category: Boats and Stream QuestionsA man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is: 3 : 4 3 : 1 3 : 2 2 : 1 Explanation:Let man's rate upstream be x kmph.Then, his rate downstream = 2x kmph. (Speed in still water) : (Speed of stream) =2x + x:2x - x22 =3x:x22= 3 : 1.10 / 10 Category: Boats and Stream QuestionsA man can row, 5km/hr in still water and the velocity of the stream is 1.5 km/hr. He takes an hour when he travels upstream to a place and returns back to the starting point. How far is the place from the starting point? 2.5 km 4.5 km 2.275km 3 km Answer with the Explanation:Let the speed of man in still water (Sb) =5km/hrAnd the speed of water/stream (Sc) =1.5km/hrTime taken to upstream and downstream is 1hr.Apply the formula:Time = distance/speedDownstream speed of the man = speed of man in still water+ speed of the streamUpstream speed of the man= speed of man in still water- speed of the streamLet the distance = x kmNow, (x/ downstream speed) + (x/ upstream speed) = timeOr, (x/ (Sb + Sc)) + (x/ (Sb – Sc)) = 1hrOr, (x/ (5+1.5)) + (x/ (5-1.5)) = 1Or, (x/6.5) + (x/3.5) = 1Or, LCM of 6.5 and 3.5 = 45.5Or, (7x+13x)/ 45.5 = 1Or, 20x= 45.5Or, x = 2.275 kmThe place is 2.275 km away from the starting point NameEmail Your score isThe average score is 0% LinkedIn Facebook Twitter VKontakte 0% Restart quiz Exit Satisfied with our quiz?Leave us a review Send feedback Pages: 1 2 3 4 Share on: Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window You Might Also Like Bar Chart Quizzes March 30, 2020 Partnership Quizzes March 26, 2020 Average Quizzes March 26, 2020Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.