Carl and Ivan took part in a 32 km marathon. Carl ran half the distance at a speed of 10 km/h and ran slower for the rest of the way at a speed of 5 km/h. Ivan ran half his total time at 10 km/h and ran slower for the rest of the time at 10 km/h. If they started the marathon at 7.30 a.m., at what time would each of them finish?
- Carl
- Ivan
(a)
Half of the 32 km marathon = 32 ÷ 2 = 16 km
Time taken by Carl for the first half of the marathon
= 16 ÷ 10
= 1
35 h
Time taken by Carl for the last half of the marathon
= 16 ÷ 5
= 3
15 h
Total time taken by Carl
= 1
35 + 3
15= 4
45 h
1 h = 60 min
45 h =
45 x 60 = 48 min
4
45 h = 4 h 48 min
4 h 48 min after 7.30 a.m. = 12.18 a.m.
Time that Carl would finish the marathon = 12.18 a.m.
(b)
Time taken by Ivan for the first half of the marathon
= 16 ÷ 10
= 1
35 h
Time taken by Ivan for the last half of the marathon
= 16 ÷ 10
= 1
35 h
Total time taken by Ivan
= 1
35 + 1
35 = 3
15 h
1 h = 60 min
15 h =
15 x 60 = 12 min
3
15 h = 3 h 12 min
3 h 12 min after 7.30 a.m. = 10.42 a.m.
Time that Ivan would finish the marathon = 10.42 a.m.
Answer(s): (a) 12.18 a.m.; (b) 10.42 a.m.