Math

QuestionJim drove 290 miles in 5 hours. How far will he drive in 11 hours at the same rate? Calculate: d=2905×11d = \frac{290}{5} \times 11.

Studdy Solution

STEP 1

Assumptions1. Jim drove290 miles in5 hours. . The speed is constant throughout the journey.
3. We need to find out how many miles he would drive in11 hours at the same speed.

STEP 2

First, we need to find the rate of speed at which Jim is driving. We can do this by dividing the total distance by the total time.
Speed=TotaldistanceTotaltimeSpeed = \frac{Total\, distance}{Total\, time}

STEP 3

Now, plug in the given values for the total distance and total time to calculate the speed.
Speed=290miles5hoursSpeed = \frac{290\, miles}{5\, hours}

STEP 4

Calculate the speed.
Speed=290mileshours=58miles/hourSpeed = \frac{290\, miles}{\, hours} =58\, miles/hour

STEP 5

Now that we have the speed, we can find out how many miles Jim would drive in11 hours. This can be done by multiplying the speed by the time.
Distance=SpeedtimesTimeDistance = Speed \\times Time

STEP 6

Plug in the values for the speed and the time to calculate the distance.
Distance=58miles/hourtimes11hoursDistance =58\, miles/hour \\times11\, hours

STEP 7

Calculate the distance.
Distance=58miles/hourtimes11hours=638milesDistance =58\, miles/hour \\times11\, hours =638\, milesJim would drive638 miles in11 hours.

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