Question No. 6
Sanjay and Sandeep ran on a racetrack, with Sanjay finishing 180 m ahead of Sandeep. Sanjay's speed was 50% more than that of
Sandeep. What was the total length of the track?
Answers
Answer :-
→ Sanjay speed = 50% more than that of sandeep speed .
→ Sanjay speed = 150% of sandeep speed .
→ Sanjay speed = (150/100) * sandeep speed .
→ sanjay speed / sandeep speed = 3/2
→ sanjay speed : sandeep speed = 3 : 2 .
we know that,
- when time is constant, then speed is directly proportional to distance.
so,
→ sanjay speed : sandeep speed = sanjay distance : sandeep distance = 3 : 2
Let sanjay runs 3x m and sandeep runs 2x m.
A/q,
→ 3x - 2x = 180m
→ x = 180 m .
therefore,
→ Length of track = 180 * 3 = 540m . (Ans.)
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