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A car travels 50% faster than a bike. Both start at the same time from A to B. The car reaches 25 minutes earlier than the bike. If the distance from A to B is 100 km, find the speed of the bike ?
A. 75 km
B. 80 km
C. 120 km
D. 100 kmt1 = 100/x Time taken by the bike
t2 = 100/(3x/2) t1 – t2 = 25/60 (100/x) – (100/(3x/2)) = 5/12 Solving the equation, x = 80 kmphAn aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 5/3 hours, it must travel at a speed of ?
A. 680 km/hr
B. 700 km/hr
C. 720 km/hr
D. 660 km/hrDistance = Speed x Time = 240 x 5 km
New time =5/3 hrHence, new speed = Distance/Time =240*5/5/3
=240×3=720 km/hr
Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60km/h and the other is moving at 40km/h mph. In how many hours will they meet ?
A. 1.5
B. 1.75
C. 2.5
D. 2.0A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km /hr, the time taken by it to cover the same distance will be ?
A. 32 min 10 sec
B. 13 min 20 sec
C. 10 min
D. 11 min 20 secA car is running at a speed of 108 kmph. What distance will it cover in 15 seconds?
A. 450 metres
B. 85 metres
C. 321 metres
D. 45 metresA can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. Find the total journey in km ?
A. 320 km
B. 380 km
C. 224 km
D. 220 kmAn express train travelled at an average speed of 100 km / hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?
A. 6 hrs 27 min
B. 6 hrs 30 min
C. 6 hrs 24 min
D. 6 hrs 21 minTime taken to cover 600 km = ( 600/100 ) hrs = 6 hrs. Number of stoppages = ( 600/75 – 1 ) = 7 Total time of stoppage = (3 x 7) min = 21 min. Hence, total time taken = 6 hrs 21 min.
A boy goes to his school from his house at a speed of 3 km / hr and returns at a speed of 2 km / hr. If he takes 5 hours in going and coming, the distance between his house and school is ?
A. 6 km
B. 6.5 km
C. 5 km
D. 5.5 kmAverage speed = ( 2 X 3 X 2/3 + 2 ) km/ hr = 12/5 km/ hr. Distance travelled = ( 12/5 X 5 )km = 12 km. So Distance between house and school = ( 12/2 )km = 6 km.
A train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of journey ?
A. 70 km
B. 60 km
C. 30 km
D. 40 kmDenominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction ?
A. 5/9
B. 4/7
C. 2/3
D. 3/5d = 2n – 1
(n + 1)/(d + 1) = 3/5
5n + 5 = 3d + 3
5n + 5 = 3(2n – 1) + 3 => n = 5
d = 2n – 1 => d = 9
Hence the fraction is : 5/9.