A vehicle travels half the distance L with speed v1 and the other half with speed v2 , then its average speed is

Question

A vehicle travels half the distance L with speed v1 and the other half with speed v2 , then its average speed is (A)  (v1+v2/2)  (B)  (2v1+v2/v1+v2)  (C)  (2v1v2/v1+v2)  (D)  (L(v1+v2)/v1v2)

Tardigrade Admin · Accepted Answer

Time taken to travel first half distance, t1=(L/2/v1)=(L/2v1) Time taken to travel second half distance, t2=(L/2/v2)=(L/2v2) Total time taken =t1+t2=(L/2v1)+(L/2v2) Average speed =( textTotal distance travelled/ textTotal time taken) =(L/(L)2v1+(L)2v2=(1/(1)2[(1)v1+(1/v2)] =(2v1v2/v2+v1)

Q. A vehicle travels half the distance $L$ with speed $v_{1}$ and the other half with speed $v_{2}$ , then its average speed is

$\frac{v _{1} + v _{2}}{2}$

$\frac{2 v _{1} + v _{2}}{v _{1} + v _{2}}$

$\frac{2 v _{1} v _{2}}{v _{1} + v _{2}}$

$\frac{L ( v _{1} + v _{2} )}{v _{1} v _{2}}$

Q. A vehicle travels half the distance L with speed v1​ and the other half with speed v2​ , then its average speed is

2v1​+v2​​

v1​+v2​2v1​+v2​​

v1​+v2​2v1​v2​​

v1​v2​L(v1​+v2​)​

Q. A vehicle travels half the distance $L$ with speed $v_{1}$ and the other half with speed $v_{2}$ , then its average speed is

$\frac{v _{1} + v _{2}}{2}$

$\frac{2 v _{1} + v _{2}}{v _{1} + v _{2}}$

$\frac{2 v _{1} v _{2}}{v _{1} + v _{2}}$

$\frac{L ( v _{1} + v _{2} )}{v _{1} v _{2}}$