SOLUTION: David and Frank cycle from Islamabad to Lahore, a distance of 210 km, at the speeds of 20 km/hr and 15 km/hr. David reaches Lahore and starts back for Islamabad. How far Lahore wil

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Question 523006: David and Frank cycle from Islamabad to Lahore, a distance of 210 km, at the speeds of 20 km/hr and 15 km/hr. David reaches Lahore and starts back for Islamabad. How far Lahore will he meet Frank?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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David and Frank cycle from Islamabad to Lahore, a distance of 210 km, at the speeds of 20 km/hr and 15 km/hr.
David reaches Lahore and starts back for Islamabad.
How far Lahore will he meet Frank?
:
Find the time for the faster cyclist to arrive at Lahore
t = 210%2F20
t = 10.5 hr
:
Find how far Frank is from Lahore in 10.5 hrs
d = 210 -(15*10.5)
d = 52.5 km from Lahore when David arrives at Lahore
:
Find the travel time (m) for them to meet from this point
write a distance equation, dist = speed * time
15m + 20m = 52.5
35m = 52.5
m = 52.5%2F35
m = 1.5 hrs for them to meet
:
Find how far from Lahore in 1.5 hrs
1.5*20 = 30 km from Lahore when they meet