Book Maths Puzzle Time and Work

On Monday Roger drove to work in 45 minutes. On Tuesday he averaged 12 miles per hour more, and it took him 9 minutes less to get to work. How far does he travel to work?

Read Solution (Total 1)

36 miles

If distance=x miles & speed=y mph
x/y=3/4,4x=3y ---(i) &
x/(y+12)=36/60=3/5, 5x-3y=36 ---(ii)
On solving (i)&(ii),x=36, y=48
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Book Other Question

The lengths of the sides of three squares are s, s+1, and s+2 . If their total area is 365 cm squared, find their total perimeter. Start with a square. Double its base, then shrink its height by 3inch. The new rectangle's area is 40 square inches loarger than the area of the original square. How long are the sides of the square?