The rate of the westbound train is 70 miles per hour.
Step-by-step explanation:
The given is,
Two trains leave the station at the same time, one heading west and the other east.
The westbound train travels 10 miles per hours slower than the eastbound train.
If the two trains are 750 miles apart after 5 hours
Step:1
Let, X - Rate of the Eastbound train
Y - Rate of the westbound train
- (X-10)
Step:2
From the given,
T - Total distance traveled by both trains
T = 750 Miles
t = Time taken by each trains
t = 5 hours
Step:3
From the given,
T = (X+Y) × t
750 = (X × t) + (Y × t)
= 5X + 5X -50
= 10X - 50
800 = 10X
X = 80
Y = 80 - 10 = 70
Step:4
From the assumed values,
X = 80 miles per hours
Y = 70 miles per hours
Result:
The rate of the westbound train is 70 miles per hour.
