Question

A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel miles in 9 hours.

Please answer!

Answer 1

Given :-

Total distance traveled = 315 miles

Total time taken = 5 hours

To Find :-

The distance traveled in 9 hours.

Solution :-

${\sf{\huge{\underline{\underline{\orange{Ist\: Case}}}}}}$

First let's find out the rate of speed of the man .

We know that ,

${\sf{Speed\: =\: {\dfrac{Distance}{Time}}}}$

On inserting the values in the formula

We get ,

${\sf{Speed\: =\: {\dfrac{315\: miles}{5\: hr}}}}$

${\sf{\implies\: Speed\: =\:63\: miles/hr}}$

Given that speed is same in second case

${\sf{\huge{\underline{\underline{\orange{IInd\: Case}}}}}}$

Speed = 63 miles/hr

Time taken = 9 hours

${\sf{Distance=\: speed\: \times\: Time}}$

On inserting the values in the formula

We get ,

${\sf{Distance=\: 63\: \times\: 9}}$

${\sf{Distance=\: 567\: miles}}$

Therefore, Distance traveled in 9 hours is 567 miles

Answer 2

Answer:

Given :-

• A man drove his car at a distance of 315 miles in 5 hours and he will travel miles in 9 hours.

To Find :-

• How many distance travelled in 9 hours.

Formula Used :-

❶ To find the speed, we know that,

$\boxed{\bold{\large{Speed\: =\: \dfrac{Distance}{Time}}}}$

❷ To find distance travelled, we know that,

$\boxed{\bold{\large{Distance\: =\: Speed\: \times Time}}}$

Solution :-

Given :

• Distance = 315 miles
• Time = 5 hours

❶ First we have to find the speed,

⇒ Speed = $\dfrac{315}{5}$

⇒ Speed = $\sf\dfrac{\cancel{315}}{\cancel{5}}$

➠ Speed = 63 miles/hours

❷ Now, we have to find distance travelled,

We get,

• Speed = 63 miles/hours
• Time taken = 9 hours

⇒ Distance = 63 × 9

➠ Distance = 567 miles

$\therefore$ The distance travelled in 9 hours is 567 miles .