Question

Please answer maths problem 100 up for grabs

Answer 1

total distance = 320 miles

Explanation:

The question tells us the average speeds and time taken for two separate journeys made by Paige and asks us to calculate the total distance of the two journeys.

In order to calculate the distance travelled, we have to use the following formula for average speed:

`\boxed{\mathrm{Average \ speed = ( distance\ travelled)/(time \ taken)}}`.

Rearranging the above formula to make distance travelled the subject of the equation, we get:

distance travelled = average speed × time taken

Therefore, for the first journey:

• distance travelled = 60 m/h × 3.5 h

= 210 miles

And for the second journey:

• distance travelled = 55 m/h × 2

= 110 miles

Hence, the total distance travelled by Paige = 210 + 110

= 320 miles

Answer 2

320 miles.

Explanation:

we can use following the formula to solve this:

Distance = Speed*Time

We need to calculate the distance Paige travelled for each leg of her journey and then add them together to get the total distance.

For the first leg of her journey from Swansea to Chichester:

speed = 60 mph

time = 3 hours and 30 minutes =3.5 hours

distance = speed*time=60*3.5= 210 miles

For the second leg of her journey from Chichester to Dover:

speed = 55 mph

time = 2 hours

distance = speed*time=55*2=110 miles

Therefore, the total distance Paige travelled is:

Total distance = distance from Swansea to Chichester + distance from Chichester to Dover

• 210 + 110 =320 miles

Therefore, Paige travelled a total of 320 miles.