Anonymous
Anonymous asked in Science & MathematicsMathematics · 2 months ago

MATH NEED HELP FAST!?

It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes?(1 point)

50 miles per hour

30 miles per hour

64 miles per hour

56 miles per hour

3 Answers

Relevance
  • Anonymous
    2 months ago

    I so wanted to answer this question.

    However, my answer is "Anonymous" as your post is Anonymous. There is no need for an Anonymous question in this category.

  • 2 months ago

    I'll help by getting you started, but since you are posting anonymously, I won't give the full answer.

    The formula for distance is:

    D = RT

    But we need consistent units. Since the rate is in miles per hour, we need the time in hours.

    R = 48 mph

    T = 40 minutes = 40/60 hours = 2/3 hour

    D = 48 * 2/3

    D = 32 miles

    His new distance, with the detour is 8 miles longer (or 40 miles)

    Figure out the exact speed he would need to go to make the new distance (40 miles) in 48 minutes (remember, convert 48 minutes into hours --> 48/60 = ? hours)

    You might need the formula below.

    R = D/T

  • First, find the original length of the route

    40 minutes * 48 miles per hour =>

    40 minutes * 48 miles / (60 minutes) =>

    40 * (4/5) miles =>

    32 miles

    Adding 8 miles to that

    32 + 8 = 40

    He need to travel 40 miles in 48 minutes

    40 miles = S mph * (4/5) hours  [because 48 minutes is still 4/5 of an hour)

    40 * (5/4) = S

    50 = S

Still have questions? Get your answers by asking now.