# college math

posted by .

It takes Mike 8 minutes to walk to the store from his house. The return trip takes 13 minutes because he walks 1mph slower due to the bags he is carrying. How fast did Mike walk on his way to the store? Carry out one decimal place.

• college math -

rate going to store --- x mph
rate coming back ----- x-1 mph

(8/60)x = (13/60)(x-1)
times 60
8x = 13(x-1)
8x - 13x = -13
-5x = -13
x = 2.6

So he walked to the store at 2.6 mph

check:
(8/60)(2.6) = .34666...
(13/60)(1.6) = .34666... , ---> same distance

• college math -

distance = speed*time, and the two distances are the same, so

8s = 13(s-1)
s = 13/5 = 2.6 mph

Note that we can mix minutes and mph, because the same factor would be applied to both sides if we converted everything to minutes or hours. As long as the units on both sides match, we are ok.

## Similar Questions

1. ### MATH

FOUR CYCLISTS A,B,C&D WANTS TO CROSS A BRIDGE BUT DUE TO BAD CONDITION OF BRIDGE ONLY TWO AT A TIME CAN CROSS IT. IF A TAKES 1 MINUTES, B TAKES 2 MINUTES,C TAKES FIVE MINUTES & D TAKES 10 MINUTES TO CROSS THE BRIDGE, HOW THEY ALL CAN …

Mya works on Saturdays and then attends a study group. She needs to be home before her younger brother. She walks from work to the study group in 5 minutes. She studies for 40 minutes. She takes 5 minutes to walk to the bus stop. The …
3. ### algebra

Mike can assemble a computer table in 40 minutes and I can do it in 60 minutes. If Mike works for 20 minutes before I join him, how long will it take us to finish?
4. ### math

It takes Nancy 15 minutes to walk a mile. How many miles can she walk in one and a half hours?
5. ### math

If it takes a person to walk 30 minutes in 3 miles..how many minutes would it take a person who walks 3.5 miles be?
6. ### geometry

hai takes 12 minutes to walk to school. he wants to get there 15 minutes early to meet with his lab partner. what time should he leave his house if school starts at 8:10am?
7. ### physics

Heather and Matthew walk eastward with a speed of 0.76 meters per second east. If it takes them 50 minutes to walk to the store, how far have they walked?
8. ### Math

1. What is the hypothesis of the following conditional statement?
9. ### Math

Ratio of minutes to draw and manage to wash is 4 to 3 how many minutes will a load need to walk if it takes 56 minutes to dry
10. ### Math

Brock Obama, Justin Trudeau and Jinping Xi decide to help Mr Blakely bathe his super cat Mike Wazowski. Brock can bathe Mike Wazowski in x minutes, Justin can bathe it in 2 minutes less than Brock, and Jinping can bathe it in 2 minutes …

More Similar Questions