## Thursday, July 28, 2011

### Maths Problem Sums on Speed

Additional Practices for those who yearns for more...

1. Peter and John decided to compete in a race. On average, Peter ran at 69 m/min slower than John. When John completed the entire race in 20 minutes, Peter had only completed 4/7 of the race.
a)     Find the time taken by Peter to complete the race. (1m)
b)   What was the speed of Peter? (3m)

2. Town A and Town B were 240 km apart. Sharon left Town A for Town B          at 9.00 a.m. travelling at an average speed of 60 km/h. Kim left Town A          some time later than Sharon and overtook her at 11 a.m. Kim’s travelling speed was 90 km/h.
a)  At what time did Kim leave Town A? (2m)
b)  How much later did Sharon arrive in Town B than Kim? (2m)

3.  After jogging for 26 minutes, Alan has run 5/9 of the distance while Ben has covered only 1/3 of it. Alan’s average speed is 40 m/min faster than Ben’s. If Ben wants to complete the distance at the same time as Alan, by how much should he increase his average speed for the remaining part of the distance? (4m)

4. .   At 7 am, Ronnie started a running marathon from Point A to Point B at an average speed of 16 km/h.  45 minutes later, Sally started cycling from Point A to Point B at an average speed of 24 km/h. Both Ronnie and Sally reached their respective destinations at the same time.  What was the time taken by Ronnie to run his marathon from Point A to B? (4m)