A few days ago
help me please with this distance rate time problem?
a train leaves p for q at a rate of 22.5. after it is gone 2.75 hours an express train leaves p for q at a rate of 85.5 and reaches the destination 1.5 hours ahead of the first train. What is the distance from p to q and how many hours did it take the express train to get there?
Top 1 Answers
A few days ago
Favorite Answer
Let s be the required distance (units unspecified), and t hours be the time the second train takes to complete the journey.
The total distance covered by the first train is:
s = 22.5 * (2.75 + t + 1.5) …….(1)
The total distance covered by the second train is:
s = 85.5 * t ….(2)
Therefore:
22.5 * (2.75 + t + 1.5) = 85.5 * t
22.5 * 4.25 + 22.5t = 85.5t
95.625 = 63t
t = 95.625 / 63
= 1.518hr.
From (2):
s = 85.5 * 1.518 = 129.78 (units unspecified).
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