Speed!

At 9am, John was cycling from Point A to Point B. At the same time, Mary was cycling from Point B to Point A using the same route as John. Cycling at a speed 4km/h faster than Mary, John would pass Mary 300m away from the midpoint.
(a) What time did they pass each other?
(b) If John took another 3 minutes to reach Point B, what time would Mary reach Point A?

Speed qn!!!

A van travelled from Town A to Town B at an average speed of 55 km/h. A car started its journey from Town B to Town A at the same time as the van, travelling at an average speed of 90 km/h. The two vehicles passed each other 70 km from the middle of the whole journey. Find the distance between the two towns.

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)