Problema Solution

Mr Dunn drives 64.8km from work at a speed of 48km/h. Mrs Dunn drives 81.2km from work at a speed of 58km/h. They both leave work at the same time.

a) Who arrives home first?

b) How many minutes later is it before the second person gets home?

Answer provided by our tutors

Let

v = average speed

d = distance travelled

t = the time of the trip

We know that

v = d/t

Solving for 't' we have:

t = d/v

Mr Dunn drives 64.8km from work at a speed of 48km/h means:

d = 64.8 km

v = 48 km/h

t = d/v

t = 64.8/48

t = 1.35 hr

t = 1 hr 21 min

Mrs Dunn drives 81.2km from work at a speed of 58km/h means:

d = 81.2 km

v = 58 km/h

t = d/v

t = 81.2/58

t = 1.4 hr

t = 1 hr 24 min

a) Who arrives home first?

Mr Dunn arrives home first since 1 hr 21 min is less than 1 hr 24 min.

b) How many minutes later is it before the second person gets home?

1 hr 24 min - 1 hr 21 min = 3 min

The second person, Mrs Dunn, gets home 3 minutes later.