He lost confidence and ________ of the deal at the last minute .

In a nuclear power plant a technician is allowed an interval of maximum 100 minutes. A timer with a bell rings at specific intervals of time such that the minutes when the timer rings are not divisible by 2, 3, 5 and 7. The last alarm rings with a buzzer to give time for decontamination of the technician. How many times will the bell ring within these 100 minutes and what is the value of the last minute when the bell rings for the last time in a 100 minute shift?

A cyclist moves with a speed of 30km/hr in the first 10 minutes, with speed of 15km/hr in the next 20 minute and with a speed of 40km/hr in the last 15 minutes Calculate the average speed of the cyclist.