Question
Download Solution PDFA’s speed is 30% more than that of B. If A and B run a race on a 117 m length race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of race is 117m
Speed of A is 30% more than speed of B
Concept Used:
To end the race in a dead heat, both players should reach the finish point at the same time.
Formula Used:
Time = Distance/Speed
Calculation:
Let the speed of B be 10 m/s
⇒ Speed of A = 13 m/s
Time required by A to complete the race
⇒ 117/13 = 9 seconds
Distance covered by B in 9 seconds
⇒ 9 × 10 = 90 m
Required head start = 117 - 90 = 27 m
∴ A should give B a head start of 27 m to end the race in a dead heat.
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