Question
Two friends ‘P’ and ‘Q’ started walking towards
each other from two towns ‘A’ and ‘B’ respectively. When they met after 7 hours, ‘Q’ had walked 105 km more than ‘P’. What was the distance covered by ‘P’ in 3 hours if the distance between towns A and B is 525 km?Solution
ATQ,
Let distance travelled by friend ‘P’ at the time of meet = x km
So, distance travelled by friend ‘Q’ at the time of meet = x + 105 km
According to question;
x + x + 105 = 525
Or, 2x = 420
Or, x = 210
Distance travelled by ‘P’ in 7 hours = 210 km
Speed of ‘P’ = 210 / 7 = 30 km/h
Distance travelled by ‘P’ in 3 hours = 30 × 3 = 90 km
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