Posted by **Da S** on Monday, March 26, 2012 at 9:32am.

Mrs Leong took 1 hour to drive 1/5 of a journey from village R to village S.she drove the remaining 180km in 4hr. A) what was Mrs Leong's speed for the first part of the journey? B) how long did she take to travel the whole journey? C) find Mrs Leong's average speed for the whole journey

- Math -
**Reiny**, Monday, March 26, 2012 at 10:00am
let the total distance be x km

her speed for first part = (1/5)x/1 km/h = x/5 km/h

speed for second part = 180/4 = 45 mph

remaining distance = x - (1)(x/5) = 4x/5

so, 4(45) = 4x/5

180 = 4x/5

4x = 900

x = 225

the total trip was 225 km

her speed in the first part = x/5 = 225/5 = 45 km/h

the whole trip took 5 hrs

average speed for whole trip was 225/5 = 45 km/h

check:

whole trip = 225 km

first part = 225-180 = 45 km

1/5 of 225 = 45 km, check!

speed = 45/1 = 45 km/h , check!

second part of trip = 180 km

speed = 180/4 = 45 km/h

total time = 1 + 4 = 5 hrs/, check!

average speed for whole trip = 225/5 = 45 km/h

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