Cole and Harry took part in a 16 km marathon. Cole ran half the distance at a speed of 12 km/h and ran slower for the rest of the way at a speed of 8 km/h. Harry ran half his total time at 10 km/h and ran slower for the rest of the time at 5 km/h. If they started the marathon at 5.30 a.m., at what time would each of them finish?
- Cole
- Harry
(a)
Half of the 16 km marathon = 16 ÷ 2 = 8 km
Time taken by Cole for the first half of the marathon
= 8 ÷ 12
=
23 h
Time taken by Cole for the last half of the marathon
= 8 ÷ 8
= 1 h
Total time taken by Cole
=
23 + 1
= 1
23 h
1 h = 60 min
23 h =
23 x 60 = 40 min
1
23 h = 1 h 40 min
1 h 40 min after 5.30 a.m. = 7.10 a.m.
Time that Cole would finish the marathon = 7.10 a.m.
(b)
Time taken by Harry for the first half of the marathon
= 8 ÷ 10
=
45 h
Time taken by Harry for the last half of the marathon
= 8 ÷ 5
= 1
35 h
Total time taken by Harry
=
45 + 1
35 = 2
25 h
1 h = 60 min
25 h =
25 x 60 = 24 min
2
25 h = 2 h 24 min
2 h 24 min after 5.30 a.m. = 7.54 a.m.
Time that Harry would finish the marathon = 7.54 a.m.
Answer(s): (a) 7.10 a.m.; (b) 7.54 a.m.