Annie drives between two towns at an average speed of 40 mph.
Tariq drives between the same two towns on the same route at an average speed of 25 mph.
Annie leaves the first town at 9 am and arrives at the second town at 10:30 am.
If Tariq sets off at the same time, what time does he arrive at the second town?
Tariq's speed is 5/8 as fast as Annie's
So, he takes 8/5 as long
8/5 * 3/2 = 12/5 = 2:24
So Tariq arrives at 11:24
To solve this problem, we need to determine the distance between the two towns and then use the average speed of Tariq to find his travel time.
First, let's calculate the distance between the two towns. Annie traveled for 1.5 hours (from 9 am to 10:30 am) at an average speed of 40 mph. Therefore, the distance between the two towns is calculated as:
Distance = Speed × Time
Distance = 40 mph × 1.5 hours
Distance = 60 miles
Now, we can find Tariq's travel time by dividing the distance by his average speed:
Time = Distance / Speed
Time = 60 miles / 25 mph
Time = 2.4 hours
Since Tariq set off at the same time as Annie (9 am), we can add his travel time to his departure time to find his arrival time:
Arrival Time = Departure Time + Travel Time
Arrival Time = 9 am + 2.4 hours
Arrival Time = 11:24 am
Therefore, Tariq will arrive at the second town at 11:24 am.