BECE Mathematics 2011 Paper

Method I
Speed =‌

‌ Distance ‌

‌ Time ‌

Distance = Speed × Time
Speed is the same.
‌2‌

1

2

=‌

2×2+1

2

‌2‌

1

2

=‌

4+1

2

‌2‌

1

2

=‌

5

2

Speed =60‌km per hour
Time =‌

5

2

Distance =60‌km×‌

5

2

2 divides itself 1 and 60, 30.
‌‌ Distance ‌=30‌km×5
‌‌ Distance ‌=150‌km

Method II
Using proportionality.
60 km per hour means a distance of 60 km is covered in an hour.
‌‌ If ‌1‌ hour ‌=60‌km
‌‌

5

2

‌ hour ‌=60‌km×‌

5

2

÷1‌ hour ‌
‌‌

5

2

‌ hour ‌=30‌km×5
‌‌

5

2

‌ hour ‌=150‌km

Method III
The car covers 60 km an hour ‌

1

2

an hour the car will cover ‌

60‌km

2

‌

1

2

an hour the car will cover 30 km 2‌

1

2

=1 hour +1 hour +‌

1

2

hour Distance covered in 2‌

1

2

hours =60‌km+60‌km+30‌km Distance covered in 2‌

1

2

hours =150‌km