2018 · Q30
In a race of 1000 m, A beats B by 150 m, while in another race of 3000 m, C beats D by 400 m. Speed of B is equal to that of D. (Assume that A, B, C and D run with uniform speed in all the events). If A and C participate in a race of 6000 m, then which one of the following is correct ?
Elementary MathematicsTime, Speed and Distance
- AA beats C by 250 m
- BC beats A by 250 m
- CA beats C by 115.38 m
- DC beats A by 115.38 m
Explanation
vA/vB = 1000/850 and vC/vD = 3000/2600, with vB = vD, so vA/vC = (1000/850) x (2600/3000) = 52/51. In the time A runs 6000 m, C runs 6000 x 51/52 = 5884.62 m. A beats C by 6000 - 5884.62 = 115.38 m. Hence option C.