Catch up
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1) Town A is 770 km away from Town B. At 1030, Jarrett leaves Town A for Town B, travelling at a speed of 60 km/h. One hour later, Rafiq leaves Town A for Town B, travelling at a speed of 70 km/h. At what time would Rafiq catch up with Jarrett? D S T A B 770 km Jarrett (Left 1030) Speed – 60 km/h Distance travel in 1 hour by Jarrett – 60 km/h × 1h = 60 km Difference in speed – 70 km/h 60 km/h = 10 km/h Ans: Rafiq would catch up with Jarrett at 1730 . A B Rafiq (Left 1130) Speed – 70 km/h Jarrett (at 1130) Speed – 60 km/h Time taken – 60 km ÷ 10 km/h = 6h Time they meet – 1130 6h 1730 Distance – 60 km
Transcript of Catch up
1) Town A is 770 km away from Town B. At 1030, Jarrett leaves Town A for Town B, travelling at a speed of 60 km/h. One hour later, Rafiq leaves Town A for Town B, travelling at a speed of 70 km/h. At what time would Rafiq catch up with Jarrett?
D
S T
A B
770 km
Jarrett (Left 1030)Speed – 60 km/h
Distance travel in 1 hour by Jarrett –60 km/h × 1h = 60 km Difference in speed – 70 km/h 60 km/h = 10 km/h
Ans: Rafiq would catch up with Jarrett at 1730.
A BRafiq (Left 1130)Speed – 70 km/h
Jarrett (at 1130)Speed – 60 km/h
Time taken – 60 km ÷ 10 km/h = 6hTime they meet –1130
6h1730
Distance – 60 km
2) Town X is 440 km away from Town Y. At 0800, Abby leaves Town X for Town Y, travelling at 40 km/h. One hour later, Sabrina leaves Town X for Town Y, travelling at 60 km/h. At what time would Sabrina catch up with Abby?
D
S T
A B
440 km
Abby (Left 0800)Speed – 40 km/h
Distance travel in 1 hour by Abby:40 km/h × 1h = 40 km Difference in speed: 60 km/h 40 km/h = 20 km/h
Ans: Sabrina would catch up with Abby at 1100.
A BSabrina (Left 0900)Speed – 60 km/h
Abby (at 0900)Speed – 40 km/h
Time taken – 40 km ÷ 20 km/h = 2hTime they meet –0900
2h1100
Distance – 40 km
3) Melven started from Town A at 0800, and drove towards Town B at an average speed of 60 km/h. Half an hour later, William left Town A and drove towards Town B at an average speed of 75 km/h. At what time did William catch up with Melven?
D
S T
A BMelven (Left 0800)Speed – 60 km/h
Distance travel in half an hour by Melven –60 km/h × 0.5 h = 30 km Difference in speed – 75 km/h 60 km/h = 15 km/h
Ans: William would catch up with Melven at 1030.
A BWilliam (Left 0830)Speed – 75 km/h
Melven (at 0830)Speed – 60 km/h
Time taken – 30 km ÷ 15 km/h = 2hTime they meet –0830
2h1030
Distance – 30 km
Questions
1) At 1130, Adrian left from Town A for Town B at a speed of 60 km/h. 1.5 hours later, Truman left for Town A for Town B at a speed of 100 km/h. At what time did Truman catch up with Adrian?
2) Town S and Town T are 570 km apart. At 1130, Hilda drove from Town S to Town T at a speed of 50 km/h. 30 minutes later, Tong Wei left Town S for Town T at a speed of 60 km/h. At what time did Tong Wei catch up with Hilda?
3) The distance between Town R and Town T is 960 km. At 0630, Car A left Town R for Town T. 45 minutes later, Car B left Town R for Town T. Car A travelled at an average speed of 80 km/h. Car B travelled at an average speed of 100 km/h. At what time did Car B catch up with Car A?
4) Town B is between Town A and Town C. At 1300, Nina left Town B for Town C, travelling at a speed of 60 km/h. 40 minutes later, Darren left Town A for Town C, travelling at 80 km/h. The distance between Town A and Town B was 50 km. At what time did Darren catch up with Nina?
