Math

Kate cycles the first 350 km of a 470 km journey at a certain average speed and the remaining distance at an average speed that is 15 km/h less than that for the first part of the journey. If the time taken for her to travel each part of her journey is the same, find the average speed for the second part of her journey.

  1. 👍
  2. 👎
  3. 👁
  1. since time = distance/speed,

    350/x = (470-350)/(x-15)

    1. 👍
    2. 👎
  2. Let "x" be the average speed during 1st part of the journey, thus,
    (x-15) be the average speed during other part of the journey.

    Time Taken for 1st Part of Journey = 350 / x = 350/x hrs and
    Time Taken for the 2nd part = (470-350) / (x-15) = 120 / (x-15) hrs

    Since time taken for both the journeys, therefore,

    350 / x = 120 / (x-15)
    350(x-15) = 120x
    350x-5250 = 120x
    350x-120x = 5250
    230x = 5250
    x = 5250/230
    x = 525/23 = 22.83 km/hrs approx. be the average speed for 1st journey thus x-15 = 22.83-15 = 7.83 km/hr is the average speed for the 2nd journey and hence this is the answer.

    1. 👍
    2. 👎
  3. Wrong answer is 7 19/23

    1. 👍
    2. 👎
  4. home work kar liya

    1. 👍
    2. 👎
  5. how did you get the ans 7 19/23 that is the correct answer can u pls teach me

    1. 👍
    2. 👎
  6. Saleem is correct the question is in my book and his answer is the same as the answer at my key answer

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    A car completes a journey in 10 minutes. For the first of the distance the speed was 60 km/h and for the second half the speed was 40 km/h. how far is the journey?

  2. Math

    in a triathlon , an athlete swims 750m in 15 minutes, cycles at an average speed of 40km/h for 30 minutes and runs 5 km at an average speed of 3m/s . find his average speed for the entire competition giving your answer in km/h

  3. Math

    8. Sylvia is training for a triathlon. she cycles 6.25 km in 25 min. a) What is her average speed, in kilometres per hour? b) Solve a proportion to determine how long she would take to cycle 40 km. Us the speed in part A)

  4. Math

    In a triathlon, a contestant swims 5 km, cycles 30 km, and then runs 20 km. In general, a contestant runs at an average speed of x, swimsat an average speed of x/5, and cycles at an average speed of 5x, where x is in kilometres

  1. math

    In a triathlon, Farhan swims a distance of 1.5 km at an average speed of 2.5 km/h, cycles 40 km in 1/1/2 hours and runs at an average speed of 9 km/h for 1/1/9 hours. Find his average speed for the entire competition

  2. math

    Emilio left Sunshine Road at 8:30 A.M. and arrived at Summer Lane at 1:30 P.M. His average speed for the whole journey was 60 km per hour. For the first 60% of the trip, he drove at an average speed at of 90 km per hour. For the

  3. Maths

    A boy cycles 7.5km to school in 27½ minutes.Find his average speed in meters per second.

  4. math

    Kate is saving to take an SAT Prep course that costs $350 and saved $180 and she adds $17 to her savings each week. How many more weeks must she save to be able to afford the course? Need the answer right now!

  1. math-calculus

    a plane flew from red deer to winnipeg, flying distance of 1260 km. on the return journey, due to a strong head wind, the plane travelled 1200 km in the same time it took to complete the outward journey. on the outward journey,

  2. Maths

    A student cycles a distance of 63 km in less than 3 hours. What is the average speed?

  3. Maths

    On a journey a motorist travels the first 40km in 1-2 hour, the next 34km in 25 mins and the last 7km in 5 mins. What is the average speed for the whole journey?

  4. Mathematics

    A student cycles a distance of 63km in less than 3yrs.what is the average speed?

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