Question I:
I rode one third of a journey at 10kmph, one third more at 9, and the rest at 8 kmph; if I had ridden half the journey at 10kmph, and the other half at 8 kmph, I should have been half a minute longer on the way: what distance did I ride?
Question 2:
The express train leaves Bristol at 3pm and reaches London at 6pm; the ordinary train leaves London at 1:30pm and arrives at Bristol at 6pm. If both trains travel uniformly, find the time when they will meet.
Question 3:
Solve (a)
Solve (b)
Question 4:
Simplify:
Question 5:
Find the square root of
Question 6:
Find the square root of
Question 7:
Solve the following system of equations:
Question 8:
A number consists of three digits, the right hand one being zero. If the left hand and middle digits be interchanged the number is diminished by 180; if the left hand digit be halved and the other two digits are interchanged, the number is diminished by 336; find the number.
Question 9:
Add together the following fractions:
,
,
, and
Question 10:
Simplify:
More later,
Nalin Pithwa