Question

A tourist wishes to catch a train in 1.2 hours, which is 115 km away. If she spends the first half-hour going 90km/h, how fast will she need to go to get to station on time?

Answer 1

100km/hr

Step-by-step explanation:

From the problem statement we know that distance of the trip is 115km

Expected time for the trip = 1.2hrs

→ If she spends the first half-hour going 90km/hr,

Here time = 0.5hr

speed = 90km/hr

The distance covered;

Distance covered = Speed x time

Distance covered = 90 x 0.5 = 45km

→The remaining distance will be:

Total distance - distance covered

115km - 45km = 70km

→ The remaining time;

1.2hr - 0.5hr = 0.7hr

Speed =
`(distance)/(time)`

Insert the parameters and solve;

Speed =
`(70)/(0.7)` = 100km/hr

For the remaining lap, the tourist must travel at a rate of 100km/hr to catch up.