Question
Two cyclists ‘X’ and ‘Y’ start from towns ‘M’
and ‘N’ respectively towards each other at the same time. When they meet after 6 hours, cyclist ‘Y’ has covered 90 km more than ‘X’. If the total distance between the towns is 450 km, what distance was covered by ‘X’ in 4 hours?Solution
ATQ,
Let distance travelled by cyclist ‘X’ at the time of meet = x km
So, distance travelled by cyclist ‘Y’ at the time of meet = x + 90 km
According to question;
x + x + 90 = 450
Or, 2x = 360
Or, x = 180
Distance travelled by cyclist ‘X’ in 6 hours = 180 km
Speed of cyclist ‘X’ = 180 / 6 = 30 km/h
Distance travelled by cyclist ‘X’ in 4 hours = 30 × 4 = 120 km
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