CAT 2017 Time, Speed and Distance Question (Medium)

Question

In a 10 km race. A, B, and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many meters does A beat C?

Accepted Answer

Step 1 Define the scenario Let the distance of the race be 10 km. - A beats B by 1 km When A finishes 10 km, B runs only 9 km So, ratio of speeds of A and B 10 9 - B beats C by 1 km When B finishes 10 km, C runs only 9 km So, ratio of speeds of B and C 10 9 Now multiply the two ratios to get speed r

CAT 2017

Quantitative

Time, Speed and Distance

Medium

In a 10 km race. A, B, and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many meters does A beat C?

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