Question

PLEASE HELP ME :(((((

Umar drove his taxi from Ipoh to Kuala Lumpur via the highway. He stopped at Tapah to
pick up some goods before proceeding to Kuala Lumpur. He drove from Ipoh to Tapah at an
average speed of 100 km/h over a distance of 60 km. If the average speed of his taxi from Ipoh
to Kuala Lumpur is 110 km/h over a distance of 220 km, calculate the average speed of Umar's
taxi from Tapah to Kuala Lumpur.
​

Answer 1

114.3 km/h

Explanation:

We need to find te average speed from Tapah to Kuala Lumpur.

speed = distance/time

We need to find the distance and time from Tapah to Kuala Lumpur.

Ipoh to Tapah:

100 km/h over a distance of 60 km

Ipoh to Kuala Lumpur:

110 km/h over a distance of 220 km

The total distance is from Ipoh to Kuala Lumpur.

speed = distance/time

distance = speed * time

time = distance/speed

time = 220 km / 110 km/h = 2 hours

Ipoh to Tapah.

time = distance/speed

time = 60 km / 100 km/h = 0.6 hour

Distance & time from Tapah to Kuala Lumpur:

220 km - 60 km = 160 km

2 hours - 0.6 hours = 1.4 hours

average speed from Tapah to Kuala Lumpur:

speed = distance/time = 160 km / 1.4 hours

speed = 114.3 km/h

Answer 2

approximately 114.28 km/h

Explanation:

Distance = rate * time (d = rt)

The distance from Ipoh to Tapah is 60 km, and the rate is 100 km/h. Therefore, the time it took to drive from Ipoh to Tapah is:

60 = 100t

t = 0.6 hours

The total distance from Ipoh to Kuala Lumpur is 220 km, and the average rate is 110 km.

Therefore, the time it took to drive from Ipoh to Kuala Lumpur is:

220 = 110t

t = 2 hours

So since we know that the time taken to go Ipoh -> Tapah is 0.6 hours and the time taken to go Ipoh -> Tapah -> Kuala Lumpur is 2 hours, the time taken to go Tapah -> Kuala Lumpur must be:

2 - 0.6 = 1.4 hours

And the distance from Tapah to Kuala Lumpur must be:

220 - 60 = 160 km

So the speed driven from Tapah to Kuala Lumpur must be:

160 = r * 1.4

r ≈ 114.28 km/h