Question

Archie cycled for 12 hours at an average speed of 23 km/h.

Jade travelled the same route as Archie but it took her 2 hour 45 minutes.
What is Jade's average speed to 1 dp?

Answer 1

For Archie

• Avg speed=23km/h
• Time=12h
• Distance=23(12)=276km

Now

for Jade

• Time=2h 45min=2+3/4h=2+0.75h=2.75h

Avg speed:-

`\\ \tt\Rrightarrow (276)/(2.75)`

`\\ \tt\Rrightarrow 100.4km/h`

Answer 2

100.4 km/h (1 dp)

Explanation:

If Archie cycled for 12 hours at an average speed of 23 km/h, then the total distance he cycled is:

• total distance = 12 x 23 = 276 km

convert 2 hours 45 mins to decimal:

• 2 hours 45 mins = 2 + 45/60 = 2.75 hours

Therefore, if Jade took 2.75 hours to travel 276 km, her average speed is:

• average speed = 276 ÷ 2.75 = 100.4 km/h (1 dp)