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# 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

- Anonymous2 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.

- PuzzlingLv 72 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

- 2 months ago
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