Showing posts with label midpoint. Show all posts
Showing posts with label midpoint. Show all posts

P6 Math: Distance Speed and Time (Travelling Further than or Nearer than Mid-Point)

Another variation of the Distance Speed and Time.

2 persons are travelling from different start points and are moving towards the same destination along a straight line. One of them needs to travel past the mid-point but the other does not need to. (hence a shorter distance travelled).

Students need to know how to calculate the difference between the distance travelled between the 2 persons before solving the rest of the question.

Such questions are common in Paper 2 of P6 Prelim papers.
Calculator usage is allowed.

Ali and Bala are cycling from each of their separate houses towards Carl's house.
Bala's house is nearer to Carl's house than Ali's.
Both boys started their journey at the same time.
There is a supermarket in the mid-point between Ali's and Bala's house.
This supermarket is 560m away from Carl's house.
Ali cycled at a speed 140m/min faster than Bala.
Ali arrived at Carl's house at the same time as Bala.


a) How much further did Ali cycle than Bala to reach Carl's house?
b) If both boys started their journey at 4.50 p.m., at what time did they reach Carl's house?


If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
Copy below question down before making attempt.


Click if above box appears blank

P6 Math: Distance Speed and Time ( One Party Travelled a Further Distance beyond Mid Point)

Distance, Speed and Time questions require students to be proficient with the 3 formulas.

Distance = Speed x Time

Speed = Distance ÷ Time or ( Distance / Time )

Time = Distance ÷ Speed or ( Distance / Speed )

For questions where one party reaches the halfway point and the faster party is already ahead by some distance, this distance will be doubled by the time the slower party has completed the race.

Such questions are common in Paper 2 of P6 exams.
Calculator usage is allowed.

Steve and Jake participated in a go-kart race.
Steve drove at a speed of 6 km/h faster than Jake.
Both boys did not change their speeds throughout the race.
When Jake reached the midpoint of the race, Steve was already 1 km ahead of him.
If Steve completed the race at 9.55 a.m.,

At what time did Jake complete the race?


If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
Copy below question down before making attempt.


Click if above box appears blank