A man ran a given distance at a particular speed. He would have taken 40 minutes less if he had travelled 3 kmph quicker. He would have taken 40 minutes longer if he had travelled 2 kmph slower. The following is the distance (in kilometres):
A. 35
B. 36 2/3
C. 37 1/2
D. 40
Answer:D
A man ran a given distance at a particular speed. He would have taken 40 minutes less if he had travelled 3 kmph quicker. He would have taken 40 minutes longer if he had travelled 2 kmph slower. The following is the distance (in kilometres):
A. 35 B. 36 2/3 C. 37 1/2 D. 40
Explanation: Let's say the distance is x kilometres and the average speed is y kilometres per hour.As a result, x/y - x/y + 3 = 40/60 2y(y + 3) = 9x... (i)Furthermore, x/y -2 - x/y = 40/60 y(y - 2) = 3x... (ii)We obtain x = 40 when we divide I by (ii).