Bobby and Cody took part in a 24 km marathon. Bobby ran half the distance at a speed of 9 km/h and ran slower for the rest of the way at a speed of 5 km/h. Cody ran half his total time at 12 km/h and ran slower for the rest of the time at 10 km/h. If they started the marathon at 5.30 a.m., at what time would each of them finish?
- Bobby
- Cody
(a)
Half of the 24 km marathon = 24 ÷ 2 = 12 km
Time taken by Bobby for the first half of the marathon
= 12 ÷ 9
= 1
13 h
Time taken by Bobby for the last half of the marathon
= 12 ÷ 5
= 2
25 h
Total time taken by Bobby
= 1
13 + 2
25= 3
1115 h
1 h = 60 min
1115 h =
1115 x 60 = 44 min
3
1115 h = 3 h 44 min
3 h 44 min after 5.30 a.m. = 9.14 a.m.
Time that Bobby would finish the marathon = 9.14 a.m.
(b)
Time taken by Cody for the first half of the marathon
= 12 ÷ 12
= 1 h
Time taken by Cody for the last half of the marathon
= 12 ÷ 10
= 1
15 h
Total time taken by Cody
= 1 + 1
15 = 2
15 h
1 h = 60 min
15 h =
15 x 60 = 12 min
2
15 h = 2 h 12 min
2 h 12 min after 5.30 a.m. = 7.42 a.m.
Time that Cody would finish the marathon = 7.42 a.m.
Answer(s): (a) 9.14 a.m.; (b) 7.42 a.m.