Question

How many pieces of equal size can be cut from a rope 30 m long , each measuring $3\dfrac{3}{4}m$ ?
A.8
B.10
C.6
D.12

Answer 1

Hint : In these types of questions we know the length of a single piece of rope and have to find the total number of pieces that could be cut from the rope. It is done by dividing the total length of rope by the length of each individual piece .

Complete step-by-step answer:
Let the total number of pieces be n.
Total length of rope = 30m
Measurement of each piece = $3\dfrac{3}{4}m$
Therefore n = $\dfrac{{30}}{{3\dfrac{3}{4}}} = \dfrac{{30}}{{\dfrac{{15}}{4}}} = 2 \times 4 = 8$
8 pieces of ropes each measuring $3\dfrac{3}{4}m$can be cut from the rope of 30m.

Note :In such types of questions the key concept we have to use is basic calculation to get to the desired result.