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.