Question

LaTanya leaves her house at 12:30 P.M. and bikes at 12 mi/h to Marta's house. She stays at Marta's house for 90 minutes. Both girls walk back to LaTanya's house along the same route at 2.5 mi/h. They arrive at LaTanya's house at 3:30 P.M. How far is Marta's house from LaTanya's house?

A) 2 miles
B) 3 miles
C) 4 miles
D) 5 miles

Answer 1

The distance between Marta's house and LaTanya's house is 2.5 miles.

Step-by-step explanation:

To find the distance between Marta's house and LaTanya's house, we can break down the problem into two parts: the biking distance from LaTanya's house to Marta's house and the walking distance from Marta's house to LaTanya's house. Firstly, we calculate the time it takes for LaTanya to bike from her house to Marta's house by dividing the distance (12 miles) by the speed (12 miles per hour), giving us 1 hour. Secondly, we calculate the time it takes for both girls to walk back from Marta's house to LaTanya's house. We know they walk at a speed of 2.5 miles per hour and the total walking time is 1 hour. Therefore, the distance walked is equal to the speed multiplied by the time, which is 2.5 miles per hour * 1 hour = 2.5 miles.