SOLUTION: If Ram walks from his house at 5 kmph, he reaches school 5 min early, and if he walks at 4 kmph he reaches 5 min late. What is the actual distance between

Question 934444: If Ram walks from his house at 5 kmph, he reaches school 5 min early, and if he walks at 4 kmph he reaches 5 min late. What is the actual distance between
Found 2 solutions by josgarithmetic, mananth:
Answer by josgarithmetic(39614) (Show Source): You can put this solution on YOUR website!
Let t be normal travel time.
Let d be distance one way.

Key fact, RT=D for rate, time, distance.
, and .
Solve the system for t. Use either of the equations of the system to find the value of d.

Actually, you have

-------Time in HOURS, the normal expected walking time.

Use that to evaluate d.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
If Ram walks from his house at 5 kmph, he reaches school 5 min early, and if he walks at 4 kmph he reaches 5 min late. What is the actual distance between
let the distance be x
and his normal speed be y
normal time = x/y
Condition I
5 minutes = 5/60 = 1/12 hours
speed = 5 kmph
time = x/5
x/y -x/5 = 1/12
Condition II
x/4 -x/y =1/12
Add the two equatations
x/4 -x/5 = 1/12 + 1/12
x/20 = 2/12
x/20 = 1/6
x=20/6
x=3.33 km

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