Question
Two runners, ‘M’ and ‘N’, started from opposite
ends of a track towards each other at the same time. When they met after 3 hours, runner ‘N’ had travelled 27 km more than runner ‘M’. Find the distance travelled by runner ‘M’ in 2 hours if the total length of the track is 207 km.Solution
Let distance travelled by runner ‘M’ at the time of meet = ‘x’ km
So, distance travelled by runner ‘N’ at the time of meet = ‘x + 27’ km
According to question:
x + x + 27 = 207
Or, 2x = 180
Or, x = 90
Distance travelled by runner ‘M’ in 3 hours = 90 km
Speed of runner ‘M’ = 90 / 3 = 30 km/h
Distance travelled by runner ‘M’ in 2 hours = 30 × 2 = 60 km
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