1) At 1pm, Tom drove from Town P to Town Q at a speed of 45 km/h while Jerry drove from Town Q to Town P at a speed of 60 km/h. Town P is 210 km from Town Q. At what time will they meet?

D

S T

P Q

210 km

TomSpeed – 45 km/h

JerrySpeed – 60 km/h

Distance travel in 1 hour by Tom and Jerry –(45 km/h × 1h) + (60km/h × 1h) = 105 km Time they will meet –210 km ÷ 105 km = 2 h

Ans: They will meet in 3 pm.

2) Andy lived in Town X and Bernard lived in Town Y. They started jogging at 6 am from their homes towards each other in a straight path and met for breakfast. Andy jogged at a speed of 100 m/min while Bernard jogged at a speed of 150 m/min. If Town X was 3 km from Town Y, how far had Andy jogged before they met each other?

D

S TX Y

3 km

AndySpeed – 100 m/min

BernardSpeed – 150 m/min

Distance travel in 1 min by Andy and Bernard –(100 m/min × 1 min) + (150 m/min × 1 min) = 250 m

Time they will meet –3 000 m ÷ 250 m = 12 min

Ans: Andy had jogged 1 200m.

Distance Andy jogged –100 m/min × 12 min = 1 200 m

3) At 9 am, Mr Tan started driving from Town X to Town Y at a speed of 70 km/h while Mr Krishnan started driving from Town Y to Town X at a speed of 80 km/h. Town X is 225 km from Town Y. At what time will they meet?

D

S TX Y

225 km

Mr TanSpeed – 70 km/h

Mr KrishnanSpeed – 80 km/h

Distance travel in 1 h by Mr Tan and Mr Krishnan –(70km/h × 1 h) + (80 km/h × 1 h) = 150 km

Time they will meet –225 km ÷ 150 km = 1 h

Ans: They will meet at 10.30 am.

Time they meet –9 am

21

121

10.30 amh

Questions

4) At 8.30 am, Tommy is driving from Town P to Town Q at a speed of 45 km/h while Jerry is driving from Town Q to Town P at a speed of 60 km/h. Town P is 210 km from Town Q. At what time will they meet? 5) At 9 am, Tommy drove from Town C to Town D while Janet drove from Town D to Town C at a speed of 45 km/h. Town C is 310 km from Town D. If they meet after 2 h, what was Tommy’s speed at first.

6) At the same position on a straight road. Benedict and Alan jogged in the opposite direction. With Alan jogging at an average speed of 1.2 km/h slower than Benedict, the two boys were 5.2 km apart after jogging for 30 minutes. Find the average speed to Alan.

8) City A was 885 km from City C. At 1100, Joe left City A for City C at a speed of 80 km/h. 45 minutes later, Dan left City C for City A at a speed of 70 km/h. At what time would the 2 men pass each other?

7) Town S and Town T are 1 200 km apart. At 1120, Mary drove from Town S to Town T at a speed of 65 km/h. At the same time, Harry left Town T for Town S at a speed of 85 km/h. At what time would they pass each other?