Mathematics word problem

75 miles per hour is the rate of train.
Formula of speed = distance/time
let,
s1 , speed of A train = s
s2, Speed of B train = s
t1, time of travel for train A = 2.5h
t2, time of travel for train B = 4 h
d1, distance traveled by train A
distance travel by train A = speed*time
= s1*t1
d2, distance traveled by train B
distance travel by train A = speed*time
= s2*t2
Total distance between station A and station B = 562.5 mi
d1+d2=562.5 mi
s1t1+s2t2=562.5
s(2.5)+s(4)=562.5
6.5 s = 562.5
s = 562.5/6.5
s = 86.5 mph
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75 miles per hour is the rate of the train.
Given:
Find:
Solution:
Formula of speed = distance/time
Let us consider
Speed of A train(s1) = s
Speed of B train(s2) = s
Time of travel for train A(t1) = 2.5h
Time of travel for train B(t2) = 4 h
Distance traveled by train A(d1)
= speed*time
= s1*t1
Distance traveled by train B(d2)
= speed*time
= s2*t2
The total distance between station A and station B = 562.5 mi
d1+d2=562.5 mi
s1t1+s2t2=562.5
s(2.5)+s(4)=562.5
6.5 s = 562.5
s = 562.5/6.5
s = 86.5 mph
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