GB-38-04-001 · Bounds on a quotient

A journey distance is 127 km to the nearest kilometre. Its duration is 1.5 hours to the nearest 0.1 hour. Calculate the upper bound of the average speed. Give your answer to 2 decimal places.

Bounds: Calculating Upper Bound of a Quotient Booklet p. 65

Method

1) Find LB and UB of distance and time

2) From Bounds table: for division, overall UB = UB ÷ LB

Worked Example (GB-38-04-001)

From Bounds Table (p. 65): For Division,

\mathbf{UB = UB \div LB}

and

\mathbf{LB = LB \div UB}

1) Use upper distance 127.5 and lower time 1.45.

2) 127.5 ÷ 1.45.

3) 87.93 km/h

87.93 km/h