SOLUTION: If a boy travels from home at a spped of 4kms/hr he reaches the school at 10:08 a.m. If he travels at a speed of 5km/hr, he reaches the school at 9:50 a.m. What is the distance fro

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Question 614010: If a boy travels from home at a spped of 4kms/hr he reaches the school at 10:08 a.m. If he travels at a speed of 5km/hr, he reaches the school at 9:50 a.m. What is the distance from home to school?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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If a boy travels from home at a speed of 4kms/hr he reaches the school at 10:08 a.m.
If he travels at a speed of 5km/hr, he reaches the school at 9:50 a.m.
What is the distance from home to school?
:
From the information given we know that he arrives 18 min earlier when his speed is 5 km/h
Since we are using km/h, change 18 min to: 18/60 = .3 hrs
:
Let d = distance
:
Write a time equation, time = dist/speed
:
4 km/h time - 5 km/h time = .3 hrs
d%2F4 - d%2F5 = .3
multiply by 20 to clear the denominators, results:
5d - 4d = .3(20)
d = 6 km is the distance to the school