Question

A bus for Delhi leaves every $30minutes$ from a bus stand. An inquiry clerk told a passenger that the bus had already left $10minutes$ ago and the next bus will leave at $9:35am$. At what time did the inquiry clerk give this information to the passenger?

Answer 1

Step 1. Given Data,

$t$ is the time interval of the bus, $t$=$30minutes$

$t_1$is the leaving time of the next bus, $t_1$=$9:35am$

$t_2$ is the timing of the bus left, $t_2=10minutes$

Step 2. Formula used,

$t_0$=$t_1$$-$$t$

$t$ is the time interval of the bus

$t_1$is the leaving time of the next bus

Let $t_0$ be the time of departure of the last bus.

Step 3. Calculating the clerk's time,

The next bus is scheduled to leave at the time $t_1$i.e. $9:35am$

As a result, the last bus will depart at $t_0=t_1-t=(09:35-00:30)=9:05am.$

So, the inquiry clerk gives this information to the passenger at $t_0+t_2=(9:05+0:10)=9:15am.$

Hence, the inquiry clerk gave this information to the passenger at $9:15am$.