algebra 1

lois rode her bike to visit a friend. She traveled at 10 miles an hour. While she was there it began to rain. Her friend drove her home at 25 miles per hour. Lois took 1.5 hours longer to go to a friends then to return home. How many hours did it take Lois to arrive at her friend's house?

  1. 👍
  2. 👎
  3. 👁
  1. distance = rate x time.
    return trip = 25 mph x time
    going = 10 mph x (time + 1.5)
    distance is the same; therefore, set them equal to each other.
    25t = (10(t+1.5)
    solve for time
    time + 1.5 = time it took Lois to go to her friends house. Post your work if you get stuck.

    1. 👍
    2. 👎
  2. Call the two times t1 and t2. Call the distance between points D.
    D = 10 t1
    D = 25 t2

    t1 = t2 + 1.5

    t1 = 2.5 t2 would be a good substitution in the last equation. Then you will have one equation on one unknown (t2). Once you have that, you can compute t1.

    1. 👍
    2. 👎
  3. T=1, 1hour

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math!

    Suppose you are driving to visit a friend in another state. You are driving 55 miles per hour. You must drive 440 miles total. If you have already driven 275 miles, how long will it take you to reach your destination? Use h to

  2. phyics (PLEASE PLEASE READ)

    a bicyclist is finishing his repair of a flat tire when a friend rides by at 3.5 m/s. two seconds later, the bicyclist hops on his bike and accelerates at 2.4 m/s^2 until he catches his friend? (a) how much time does it take until

  3. Math

    A boat on a river traveled from City A to City C with a stop at City B. On the first part of the‚Äč trip, the boat traveled at an average speed of 10 miles per hour. From City B to City C the average speed was 15 miles per hour.

  4. MATH Fractions

    Can someone help? Jeff rode his bike around the bije trail that was 1/3 of a mile long. he rode around the trail 9 times. right a fraction grader than 1 for the distance. how many miles did jeff ride?

  1. 8th grade math

    One of your friends is heading north for the Christmas holiday and the other friend is heading south. If when they start, they are 1029 miles apart and one car is traveling at 53 miles per hour, and the other 45 miles per hour,

  2. math

    Jen rode her bike 1 5 of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed

  3. Math

    Suppose you are driving to visit a friend who lives far away. You are driving at an average rate of 55 miles per hour. You must drive a total of 295 miles. If you have already driven 20 miles, how long will it take you to reach

  4. math

    Melba rode her bike 7 / 8 mile in 1/ 4 hour what is the unit rate in miles per hour

  1. Math

    Sarah walked at a speed of 3 miles per hour. Beneta rode her bicycle at a speed of 9 miles per hour. They both traveled the same distance, but it took Sarah 4 more hours than it took Beneta. How many hours did it take Beneta? I am

  2. PHYSICS

    You ride your bike along a straight line from your house to a store 1030 m away. On your way back, you stop at a friend's house which is halfway between your house and the store. a) What is your displacement? b) What is the total

  3. Physical science check my answers

    2. On my bike, I was able to travel 40 miles in one hour. From this information, we can determine the bike's A. speed. *** B. velocity. C. acceleration. D. direction. 3. The local news team is tracking the storm and has reported

  4. Math

    Jennifer rode her bike to the store at a rate of 15 mph. She rode back home at a rate of 10 mph. How far is it to the store if the round trip takes an hour?

You can view more similar questions or ask a new question.