SOLUTION: Kate leaves town P and cycles towards town Q which is 100 km away, at the speed of 5 metres/ second. Thirty minutes later, Ben leaves town Q and travels towards town P at 9 metres/

Question 1101890: Kate leaves town P and cycles towards town Q which is 100 km away, at the speed of 5 metres/ second. Thirty minutes later, Ben leaves town Q and travels towards town P at 9 metres/second.
a. How long has Ben been traveling for when he meets Kate?
b. How many kilometres from P are they when they meet?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
(Part (a) )

The speeds were given in , but the calculations should be better handled with kilometers, and hours. The conversion factor to get KM per HOUR is .

Both Kate and Ben traveled at kilom per hour for x hours; but first, Kate traveled at kilometers per hour for hours.
Total distance given as 100 km.

x, time in hours while both were traveling toward each other

(omitting algebra steps here)

1 hour 48 minutes
Time for Ben to meet Kate between P and Q.
.

----------------
The speed unit conversions:
1 hour is 3600 seconds.
1 kilometer is 1000 meters.
Problem description gave speeds in meters per second but gave distance in kilometers and problem may be more easily handled in KILOMETERS, HOURS.

Any given meters per seconds, as speed

For a given , the same speed is .
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