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makvit [3.9K]
2 years ago
10

jabu left town A to travel to town B at 6:00 a.m. he drove at an average speed of 80km/h. At 8.30a.m. Sipho left town A to trave

l to town B. He drove at an average speed of 100 km/h. At what time will Sipho catch up jabu?​
Mathematics
1 answer:
7nadin3 [17]2 years ago
4 0

Answer:

Sipho catches up Jabu at 6:30 pm

Step-by-step explanation:

Jabu left town A to travel to town B at 6:00 a.m. he drove at an average speed of 80km/h.

At 8:30 am, when Sipho leaves, we will have traveled 2.5 hours at 80 km/h, so he will be 80*2.5 = 200 km ahead.

From then, his position will be given by:

J(t) = 200 + 80t

Sipho left town A to travel to town B. He drove at an average speed of 100 km/h.

His position will be given by:

S(t) = 100t

At what time will Sipho catch up jabu?​

He will catch up in t hours, and t is found when:

S(t) = J(t)

So

100t = 200 + 80t

20t = 200

t = \frac{200}{20} = 10

He will catch up 10 hours after 8:30 am, that is, 6:30 pm.

Sipho catches up Jabu at 6:30 pm

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